Galerkin–Vlasov Method for Deflection Analysis of Isotropic Sandwich Plates under Uniform Load | Journal of Engineering Sciences

Galerkin–Vlasov Method for Deflection Analysis of Isotropic Sandwich Plates under Uniform Load

Author(s): Mama B. O.1, Ike C. C.2*

Affilation(s):
1 University of Nigeria, Nsukka, 410101 Enugu State, Nigeria;
2 Enugu State University of Science and Technology, P.M.B. 01660, Enugu, Nigeria

*Corresponding Author’s Address: charles.ike@esut.edu.ng

Issue: Volume 5; Issue 1 (2018)

Dates:
Paper received: January 27, 2018
The final version of the paper received: March 27, 2018
Paper accepted online: May 3, 2018

Citation:
Mama B. O. Galerkin–Vlasov Method for Deflection Analysis of Isotropic Sandwich Plates under Uniform Load / B. O. Mama, C. C. Ike // Journal of Engineering Sciences. – Sumy : Sumy State University, 2018. – Volume 5, Issue 1. – P. D15-D19.

DOI: 10.21272/jes.2018.5(1).d3

Research Area: MECHANICAL ENGINEERING: Dynamics and Strength of Machines

Abstract. In this work, the Galerkin–Vlasov method was used to solve the governing partial differential equation of equilibrium for isotropic sandwich plates with simply supported edges (x = ±a, y = ±b) and under uniform load on the plate domain  Vlasov procedure was adopted in choosing the displacement shape functions as orthogonal eigen functions of dynamic Euler Bernoulli beams with equivalent spans, simple supports and loading as the plate. The resulting Galerkin-Vlasov equation was solved to obtain the unknown generalised shape function. It was found that the deflections obtained were exact solutions to the problem of bending isotropic sandwich plates. The deflection was found to be made up of two components: flexural deformation and shear deformation.

Keywords: isotropic sandwich plate; Galerkin–Vlasov method; governing differential equation of equilibrium; orthogonal eigen functions; generalized displacements parameters.

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Scientific journal "The Journal of Engineering Sciences"
ISSN 2312-2498 (Print), ISSN 2414-9381 (Online).

Faculty of Technical Systems and Energy Efficient Technologies
Sumy State University